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100022020120120 = 23571736757256211
BaseRepresentation
bin10110101111100000110000…
…111110101001111000111000
3111010011000022120001112101011
4112233200300332221320320
5101102230044122320440
6552421252014203304
730032231621110210
oct2657406076517070
9433130276045334
10100022020120120
112996311187535a
12b274b301b3534
1343a70611c0c17
141a9b13d50d240
15b86c07a749ea
hex5af830fa9e38

100022020120120 has 128 divisors (see below), whose sum is σ = 273070906767360. Its totient is φ = 32188067112960.

The previous prime is 100022020120079. The next prime is 100022020120123. The reversal of 100022020120120 is 21021020220001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100022020120120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022020120123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26881186 + ... + 30375025.

It is an arithmetic number, because the mean of its divisors is an integer number (2133366459120).

Almost surely, 2100022020120120 is an apocalyptic number.

100022020120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022020120120 is an abundant number, since it is smaller than the sum of its proper divisors (173048886647240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100022020120120 is a wasteful number, since it uses less digits than its factorization.

100022020120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57256613 (or 57256609 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100022020120120 its reverse (21021020220001), we get a palindrome (121043040340121).

The spelling of 100022020120120 in words is "one hundred trillion, twenty-two billion, twenty million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 367 476 595 680 734 952 1190 1468 1835 2380 2569 2936 3670 4760 5138 6239 7340 10276 12478 12845 14680 20552 24956 25690 31195 43673 49912 51380 62390 87346 102760 124780 174692 218365 249560 349384 436730 873460 1746920 57256211 114512422 229024844 286281055 400793477 458049688 572562110 801586954 973355587 1145124220 1603173908 1946711174 2003967385 2290248440 3206347816 3893422348 4007934770 4866777935 6813489109 7786844696 8015869540 9733555870 13626978218 16031739080 19467111740 21013029437 27253956436 34067445545 38934223480 42026058874 54507912872 68134891090 84052117748 105065147185 136269782180 147091206059 168104235496 210130294370 272539564360 294182412118 357221500429 420260588740 588364824236 714443000858 735456030295 840521177480 1176729648472 1428886001716 1470912060590 1786107502145 2500550503003 2857772003432 2941824121180 3572215004290 5001101006006 5883648242360 7144430008580 10002202012012 12502752515015 14288860017160 20004404024024 25005505030030 50011010060060 100022020120120